Stringy effects in black hole decay

Sameer Murthy; Stanislav Kuperstein

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Stringy effects in black hole decay

Stanislav Kuperstein, Sameer Murthy

High Energy Physics - Theory · Submitted 4 Aug 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find perfect agreement between the microscopic and macroscopic calculations; in the cases we study, the zero energy limit of the scattering cross section is equal to four times the Wald entropy of the black hole.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.40 · human participants 0.01 · controlled comparison 0.19 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.87 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We compute the low energy decay rates of near-extremal three(four) charge black holes in five(four) dimensional N=4 string theory to sub-leading order in the large charge approximation. This involves studying stringy corrections to scattering amplitudes of a scalar field off a black hole. We adapt and use recently developed techniques to compute such amplitudes as near-horizon quantities. We then compare this with the corresponding calculation in the microscopic configuration carrying the same charges as the black hole. We find perfect agreement between the microscopic and macroscopic calculations; in the cases we study, the zero energy limit of the scattering cross section is equal to four times the Wald entropy of the black hole.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We compute the low energy decay rates of near-extremal three(four) charge black holes in five(four) dimensional N=4 string theory to sub-leading order in the large charge approximation.	contribution 1.00	0.96	0.06	asserted 0.98
s1	This involves studying stringy corrections to scattering amplitudes of a scalar field off a black hole.	method 0.65	0.63	0.02	asserted 0.99
s2	We adapt and use recently developed techniques to compute such amplitudes as near-horizon quantities.	method 0.98	0.87	0.02	asserted 0.98
s3	We then compare this with the corresponding calculation in the microscopic configuration carrying the same charges as the black hole.	method 0.75	0.88	0.05	asserted 0.78
s4	We find perfect agreement between the microscopic and macroscopic calculations; in the cases we study, the zero energy limit of the scattering cross section is equal to four times the Wald entropy of the black hole.	result 1.00	0.96	0.93	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.87.

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Original abstract

We compute the low energy decay rates of near-extremal three(four) charge black holes in five(four) dimensional N=4 string theory to sub-leading order in the large charge approximation. This involves studying stringy corrections to scattering amplitudes of a scalar field off a black hole. We adapt and use recently developed techniques to compute such amplitudes as near-horizon quantities. We then compare this with the corresponding calculation in the microscopic configuration carrying the same charges as the black hole. We find perfect agreement between the microscopic and macroscopic calculations; in the cases we study, the zero energy limit of the scattering cross section is equal to four times the Wald entropy of the black hole.

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2 arXiv papers cite this in 3 sentences

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Compares with it 1 paper

But the agreement found in [ref] allows us to ask a few questions, which for now remain open: does that agreement hold for generic $d$ dimensions?

Scattering of spherically symmetric d-dimensional alpha'-corrected black holes in string theory · Discussion and future directions · 0.81

What it cites · 87 sentences without a confident label

Uses the method or tool of 7 papers

To remedy this we can follow [ref] where we take the near horizon limit and the extremal limit simultaneously always keeping the horizon at a finite distance.

Emergent quantum criticality, Fermi surfaces, and AdS2 · The classical three-charge and four-charge black hole · 0.96
To remedy this we can follow [ref] where we take the near horizon limit and the extremal limit simultaneously always keeping the horizon at a finite distance.

Black Hole Entropy Function, Attractors and Precision Counting of Microstates · The classical three-charge and four-charge black hole · 0.96
To remedy this we can follow [ref] where we take the near horizon limit and the extremal limit simultaneously always keeping the horizon at a finite distance.

Transport coefficients, membrane couplings and universality at extremality · The classical three-charge and four-charge black hole · 0.96

Uses data or values from 1 paper

It was found in [ref] that: [equation] and: _1^''/2 π = 4 ( 1 - 2 u_1^2/v_1 ẽ_1^2 ) u_1^2/v_1 ẽ_1 Q_5 - 32 π( 1 - 2 u_2^2/v_2 K^2 ) u_2^2/v_2 ẽ_3 K .

alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory · Stringy corrections · 0.91

Compares with 3 papers

First, the authors [ref] set $ℓ_s=4$ while we prefer to keep $ℓ_s$ explicitly in the formulae.

Entropy Function for Heterotic Black Holes · The classical three-charge and four-charge black hole · 0.87
First, the authors [ref] set $ℓ_s=4$ while we prefer to keep $ℓ_s$ explicitly in the formulae.

alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory · The classical three-charge and four-charge black hole · 0.87
* Finally, it is interesting to note that the form of our answer$_abs = 4 G_N S_micro$ looks a lot like the relation $η= s/4 π$ between the viscosity and the entropy density in the fluid-gravity correspondence [ref] .

Viscosity, Black Holes, and Quantum Field Theory · Discussion · 0.98

Cites as background 13 papers

The leading order calculation was originally done in [ref] by considering the thermodynamics of the gas of open string modes living on the D-branes.

Comparing decay rates for black holes and D-branes · Choice of ensemble in the near-extremal system · 0.83
This is the well-studied D1-D5-P system on a $K3 ×S^1$ compactification of IIB string theory [ref] .

Microscopic Origin of the Bekenstein-Hawking Entropy · String theory setup · 0.96
One now understands sub-leading perturbative corrections to the leading asymptotic degeneracy in terms of higher derivative corrections to the string effective action [ref] and the application of the more general Wald formula which replaces the Bekenstein-Hawking area law (see [ref] and references therein).

Corrections to macroscopic supersymmetric black-hole entropy · Introduction and summary · 0.86

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